For various reasons. Read an introductory calculus book; they are usually full of examples that have practical applications.
One common use of differentiation (derivation) is to find the maximum or minimum of some function. A maximum or minimum can occur (a) at the endpoints of the interval under consideration, (b) at a point where the derivative is zero, (c) at a point where the derivative is not defined. This, obviously, requires differentiation.
Integration can be used to find areas and volumes, or, more generally, the area under a curve that might not necessarily represent an area in the geometric sense. For example, work = force x distance - but what happens if the force changes while you move? This "variable product" is equivalent to finding an area under a curve.
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you simply differentiate the function and integrate the reamaing trigonometric equation leavin surd form in you ranswer
Series in calculus are important for many reasons. One of them is the ability to differentiate or integrate a series that represents a function much easier than the function itself.
You integrate each element of the matrix.
to integrate something means to put two things together to make a new one
In calculus, "to integrate" means to find the indefinite integrals of a particular function with respect to a certain variable using an operation called "integration". Synonyms for indefinite integrals are "primitives" and "antiderivatives". To integrate a function is the opposite of differentiating a function.